Q: What are the prime factors of the number 5,765,472?

 A: 2, 3, 6673

Why are those the prime factors of the number 5,765,472?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 5,765,472

5,765,472
Factor Arrows
22,882,736
Factor Arrows
21,441,368
Factor Arrows
2720,684
Factor Arrows
2360,342
Factor Arrows
2180,171
Factor Arrows
360,057
Factor Arrows
320,019
Factor Arrows
36,673

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 6673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 6,673 = 5,765,472

This can also be written as 25 x 33 x 6,6731 = 5,765,472

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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